Algebra Seminar Speaker: Matt Broe, Boston University Title: The Beilinson-Bloch conjecture for some non-isotrivial varieties over global function fields Abstract: The Beilinson-Bloch conjecture is a generalization of the Birch and Swinnerton-Dyer conjecture, which relates the ranks of Chow groups of smooth projective varieties over global fields to the order of vanishing of L-functions. We prove […]
Freedman Seminar Speaker: Robert Gompf, UT Austin Title: Exotic R^4's are unclassifiable Abstract: We will use descriptive set theory to show that there is a precise sense in which exotic R^4's are unclassifiable. For other open manifolds, we can reach a much higher level of unclassifiability. This is work in progress with Aristotelis Panagiotopoulos.
Quantum Field Theory and Physical Mathematics Seminar Speaker: Tianqin Zhu, Columbia University Title: K-theoretic stable envelopes, quantum loop groups and wall-crossings Abstract: The stable envelope is an important tool in both geometric representation theory and the enumerative geometry. One of the most important application is that it generates the geometric quantum loop group via the FRT […]
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Vasily Krylov, Harvard Title: 1-shifted Yangians from 1-shifted Lie bialgebras Abstract: In the previous talk, Keyou explained that the fusion of line defects in 3d holomorphic–topological field theories is expected to be governed by so-called DG-shifted Yangians. Following arXiv:2503.08770, I will present examples of such DG-shifted Yangians arising from […]
CMSA Q&A Seminar Speaker: Lauren Williams, Harvard Topic: The First Proof Project
Member Seminar Speaker: Elliott Gesteau, CMSA Title: Failures of Holographic Emergence Abstract: Recent developments have taught us that some semiclassical spacetimes, in particular those containing closed universe components, cannot emerge from a holographic correspondence. In this talk, I will explain how one can get to this conclusion by using either quantum information theory or properties of the large N limit of […]
Quantum Field Theory and Physical Mathematics Seminar Speaker: Seraphim Jarov, Perimeter Institute Title: Twistorial constructions of higher genus integrability Abstract: I will present a new method to engineer integrable models in 4d with higher genus spectral parameters. The method has a twistorial origin – by working on a branched covering of twistor space, I show […]
Colloquium Speaker: Mikhail Khovanov, Johns Hopkins University Title: Facets of link homology Abstract: We will review some link homology theories of algebraic origin and their connections to representation theory and geometry.
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Oswaldo Vázquez (Harvard) Title: A Mumford form on infinite Grassmannians Abstract: The Polyakov measure in bosonic string theory can be expressed in terms of the Mumford form, which is a trivializing section of a product of determinant line bundles over the moduli space of genus g curves. We […]
Algebra Seminar Speaker: Dale Cutkosky, University of Missouri Title: Multiplicities of graded families of ideals on Noetherian local rings Abstract: Let $R$ be an arbitrary $d$-dimensional Noetherian local ring with maximal ideal $m_R$. In this talk, we give a generalization of the multiplicity $e(I)$ of an $m_R$-primary ideal $I$ of $R$ to a multiplicity $e(\mathcal […]
Member Seminar Speaker: Sunghyuk Park, CMSA Title: Quantum topology from dynamics Abstract: Dynamics studies the long-term behavior of systems that evolve over time, such as the famous Lorenz system. Quantum topology, by contrast, studies knots and low-dimensional manifolds through invariants that are usually constructed using representation-theoretic tools. In this talk, I will explain how quantum invariants of […]
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Dan Freed, Harvard Math & CMSA Title: Abelian gauge fields and duality Abstract: Motivated by the new paper arXiv:2603.19161, I will give a general talk about abelian gauge fields, including duality. I will start with classical Maxwell theory, then discuss various “finite” examples, the typical p-form abelian […]